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of 928
pro vyhledávání: '"PRAEGER, CHERYL E."'
This paper is concerned with absolutely irreducible quasisimple subgroups $G$ of a finite general linear group $GL_d(\mathbb{F}_q)$ for which some element $g\in G$ of prime order $r$, in its action on the natural module $V=(\mathbb{F}_q)^d$, is irred
Externí odkaz:
http://arxiv.org/abs/2411.08270
A digraph is $s$-arc-transitive if its automorphism group is transitive on directed paths with $s$ edges, that is, on $s$-arcs. Although infinite families of finite $s$-arc transitive digraphs of arbitrary valency were constructed by the third author
Externí odkaz:
http://arxiv.org/abs/2408.12074
Publikováno v:
Basic Tetravalent Oriented Graphs of Independent-Cycle Type (with Nemanja Poznanovic). Ars. Math. Contemporanea Published online April 4, 2024
The family $\mathcal{OG}(4)$ consisting of graph-group pairs $(\Gamma, G)$, where $\Gamma$ is a finite, connected, 4-valent graph admitting a $G$-vertex-, and $G$-edge-transitive, but not $G$-arc-transitive action, has recently been examined using a
Externí odkaz:
http://arxiv.org/abs/2407.11411
Autor:
Hawtin, Daniel R., Praeger, Cheryl E.
This is a chapter in a forthcoming book on completely regular codes in distance regular graphs. The chapter provides an overview, and some original results, on codes in distance regular graphs which admit symmetries via a permutation group acting on
Externí odkaz:
http://arxiv.org/abs/2407.09803
Autor:
Liebeck, Martin W., Praeger, Cheryl E.
We determine all factorisations $X=AB$, where $X$ is a finite almost simple group and $A,B$ are core-free subgroups such that $A\cap B$ is cyclic or dihedral. As a main application, we classify the graphs $\Gamma$ admitting an almost simple arc-trans
Externí odkaz:
http://arxiv.org/abs/2405.14287
Autor:
Alavi, Seyed Hassan, Amarra, Carmen, Daneshkhah, Ashraf, Devillers, Alice, Praeger, Cheryl E.
It was shown in 1989 by Delandtsheer and Doyen that, for a $2$-design with $v$ points and block size $k$, a block-transitive group of automorphisms can be point-imprimitive (that is, leave invariant a nontrivial partition of the point set) only if $v
Externí odkaz:
http://arxiv.org/abs/2404.11241
We consider $2$-designs which admit a group of automorphisms that is flag-transitive and leaves invariant a chain of nontrivial point-partitions. We build on our recent work on $2$-designs which are block-transitive but not necessarily flag-transitiv
Externí odkaz:
http://arxiv.org/abs/2401.13885
Let $V:=(\mathbb{F}_q)^d$ be a $d$-dimensional vector space over the field $\mathbb{F}_q$ of order $q$. Fix positive integers $e_1,e_2$ satisfying $e_1+e_2=d$. Motivated by analysing a fundamental algorithm in computational group theory for recognisi
Externí odkaz:
http://arxiv.org/abs/2312.05529
A \emph{mixed dihedral group} is a group $H$ with two disjoint subgroups $X$ and $Y$, each elementary abelian of order $2^n$, such that $H$ is generated by $X\cup Y$, and $H/H'\cong X\times Y$. In this paper we give a sufficient condition such that t
Externí odkaz:
http://arxiv.org/abs/2304.10633
More than $30$ years ago, Delandtsheer and Doyen showed that the automorphism group of a block-transitive $2$-design, with blocks of size $k$, could leave invariant a nontrivial point-partition, but only if the number of points was bounded in terms o
Externí odkaz:
http://arxiv.org/abs/2303.11655